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If a+b+c=0 and omega,omega^2 are imagina...

If `a+b+c=0` and `omega,omega^2` are imaginary cube roots of unity, then `(a+bomega+comega^2)^2+(a+bomega^2+comega)^3=` 3abc (b) 6abc (c) 9 abc (d) 27 abc

A

`(2 a + b + c) (2 b - c - a) (2 c - a - b)`

B

27abc

C

abc

D

2abc

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The correct Answer is:
B
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ML KHANNA-COMPLEX NUMBERS -Problem Set (2) (M.C.Q)
  1. If g(x) and h(x) are two polynomials such that the polynomials P(x)=g(...

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  2. If alpha , beta are complex cube roots of unity and x = a + b, y = ...

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  3. If a+b+c=0 and omega,omega^2 are imaginary cube roots of unity, then (...

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  4. If omega is a cube root of unity but not equal to 1, then minimum valu...

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  5. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  6. If x=a+b,y=aomega+bomega^2 nd z=omega^2+bomega, prove that x^3+y^3+z^3...

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  7. If omega pm 1 is a cube root of unity, the value of (a + b omega + c o...

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  8. If alpha, beta, gamma are the cube roots of p, p lt 0 then for an...

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  9. If alpha , beta , gamma are cube roots of p lt 0, then for any x , y,...

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  10. The value |(1 + omega,omega^(2),-omega),(1 + omega^(2),omega,-omega^(...

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  11. If omega is imaginary cube root of unity then Delta = |(1,1 + i ...

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  12. |(6i,-3i,1),(4,3i,-1),(20,3,i)| = x + iy then (x,y) is

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  13. If alpha is a root of x^(4) - 1 = 0 with negative principal argum...

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  14. If omega be complex cube root of unity satisfying the equation (1 )/...

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  15. If 1 , omega, omega^(2), . . . omega^(n - 1) are the n, nth roots of ...

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  16. If alpha is an n th root of unity other than unity itself, then the ...

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  17. If omega is an imaginary fifth root of unity, then find the value of l...

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  18. The product of all n^(th) root of unity is always

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  19. The roots of the cubic equation (z + ab)^(3) = a ^(3) , a ne 0 represe...

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  20. If If 1, alpha(1), alpha(2), alpha(3) , . . . alpha(n - 1) are the n...

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